The maximum velocities of the photoelectrons ejected are v and 2 v for the incident light of wavelength 400 nm and 250 nm on a metal surface respectively. The work function of the metal in terms of Pl

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The maximum velocities of the photoelectrons ejected are v and 2 v for the incident light of wavelength 400 nm and 250 nm on a metal surface respectively. The work function of the metal in terms of Planck's constant h and velocity of light c is

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Solving eqns. (i) and (ii), we get $\frac{h c}{250 nm} - ϕ_{0} = \frac{4 h c}{400 nm} - 4 ϕ_{0} or ϕ_{0} = \frac{h c}{500 \times 1 0 ^{- 9}} J = \frac{1 0 ^{9} h c}{500} J = \frac{1000 h c}{500} \times 1 0^{6} J$ $= 2 h c \times 1 0^{6} J$

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